{"id":"https://openalex.org/W2092776463","doi":"https://doi.org/10.1137/100816006","title":"Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem","display_name":"Local POD Plus Galerkin Projection in the Unsteady Lid-Driven Cavity Problem","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2092776463","doi":"https://doi.org/10.1137/100816006","mag":"2092776463"},"language":"en","primary_location":{"id":"doi:10.1137/100816006","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100816006","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067996209","display_name":"Filippo Terragni","orcid":"https://orcid.org/0000-0002-6113-0824"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Filippo Terragni","raw_affiliation_strings":["filippo.terragni@upm.es and eusebio.valero@upm.es and josemanuel.vega@upm.es#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"filippo.terragni@upm.es and eusebio.valero@upm.es and josemanuel.vega@upm.es#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060292830","display_name":"Eusebio Valero","orcid":"https://orcid.org/0000-0002-1627-6883"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Eusebio Valero","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089105026","display_name":"Jos\u00e9 M. Vega","orcid":"https://orcid.org/0000-0002-4307-9623"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jos\u00e9 M. Vega","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.2411,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.94883563,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"33","issue":"6","first_page":"3538","last_page":"3561"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11254","display_name":"Fluid Dynamics and Vibration Analysis","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computational-fluid-dynamics","display_name":"Computational fluid dynamics","score":0.9050470590591431},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.8051180839538574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6264020800590515},{"id":"https://openalex.org/keywords/reynolds-number","display_name":"Reynolds number","score":0.5548238158226013},{"id":"https://openalex.org/keywords/point-of-delivery","display_name":"Point of delivery","score":0.4651167690753937},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.3332917094230652},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.2621295750141144},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.141856849193573},{"id":"https://openalex.org/keywords/turbulence","display_name":"Turbulence","score":0.0942935049533844}],"concepts":[{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.9050470590591431},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.8051180839538574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6264020800590515},{"id":"https://openalex.org/C182748727","wikidata":"https://www.wikidata.org/wiki/Q178932","display_name":"Reynolds number","level":3,"score":0.5548238158226013},{"id":"https://openalex.org/C137776501","wikidata":"https://www.wikidata.org/wiki/Q7208270","display_name":"Point of delivery","level":2,"score":0.4651167690753937},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3332917094230652},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.2621295750141144},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.141856849193573},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.0942935049533844},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/100816006","is_oa":false,"landing_page_url":"https://doi.org/10.1137/100816006","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1549023103","https://openalex.org/W1633869374","https://openalex.org/W1964867653","https://openalex.org/W1978254533","https://openalex.org/W1982639117","https://openalex.org/W1990619492","https://openalex.org/W1991179992","https://openalex.org/W2002094651","https://openalex.org/W2003468238","https://openalex.org/W2006254762","https://openalex.org/W2008034179","https://openalex.org/W2015431729","https://openalex.org/W2017941390","https://openalex.org/W2021041911","https://openalex.org/W2026168449","https://openalex.org/W2027701260","https://openalex.org/W2033068209","https://openalex.org/W2035397676","https://openalex.org/W2043163633","https://openalex.org/W2045184052","https://openalex.org/W2092398714","https://openalex.org/W2108242961","https://openalex.org/W2112823474","https://openalex.org/W2117620023","https://openalex.org/W2124500362","https://openalex.org/W2128884148","https://openalex.org/W2137090841","https://openalex.org/W2139168617","https://openalex.org/W2151146539","https://openalex.org/W2159271996","https://openalex.org/W2163662580","https://openalex.org/W2165774374","https://openalex.org/W2171357619"],"related_works":["https://openalex.org/W4383033865","https://openalex.org/W3142541575","https://openalex.org/W2375444032","https://openalex.org/W4313588295","https://openalex.org/W2352729895","https://openalex.org/W1991415308","https://openalex.org/W3216700519","https://openalex.org/W2362666365","https://openalex.org/W2049995177","https://openalex.org/W2381730216"],"abstract_inverted_index":{"A":[0],"local":[1],"proper":[2],"orthogonal":[3],"decomposition":[4],"(POD)":[5],"plus":[6],"Galerkin":[7,80,169,185],"projection":[8,186],"method":[9,45,214],"is":[10,30,59,96,118,215,218],"applied":[11],"to":[12,55,134,151,220],"the":[13,19,40,99,106,110,115,122,138,162,172,175,180,192,222,229,235,239,246],"unsteady":[14],"lid-driven":[15],"cavity":[16],"problem,":[17],"namely":[18],"incompressible":[20],"fluid":[21,56,74],"flow":[22],"in":[23,83,109,113,121,129],"a":[24,44,72,79,84,158,198,203,213,226],"two-dimensional":[25],"box":[26],"whose":[27],"upper":[28],"wall":[29],"moved":[31],"back":[32],"and":[33,68,78,90,238],"forth":[34],"at":[35],"moderately":[36],"large":[37],"values":[38],"of":[39,70,86,156,164,206,228,231,245],"Reynolds":[41,236],"number.":[42],"Such":[43],"was":[46],"recently":[47],"developed":[48],"for":[49,147],"one-dimensional":[50],"parabolic":[51],"problems.":[52],"Its":[53],"extension":[54],"dynamics":[57,75],"problems":[58],"nontrivial":[60],"(especially":[61],"if":[62],"rough":[63],"CFD":[64,139,159,181,223],"codes":[65],"are":[66,145],"used)":[67],"consists":[69],"using":[71,190],"computational":[73],"(CFD)":[76],"code":[77,140,160,224],"system":[81],"(GS)":[82],"sequence":[85],"interspersed":[87],"intervals":[88],"$I_{CFD}$":[89,111,124,131],"$I_{GS}$,":[91],"respectively.":[92],"The":[93,154],"POD":[94,102,116,173],"manifold":[95,117],"calculated":[97,120],"retaining":[98],"most":[100],"energetic":[101],"modes":[103],"resulting":[104],"from":[105],"snapshots":[107],"computed":[108],"intervals;":[112],"fact,":[114],"completely":[119],"first":[123],"interval":[125],"but":[126],"only":[127],"updated":[128],"subsequent":[130],"intervals.":[132],"Intended":[133],"mimic":[135],"industrial":[136],"solvers,":[137],"contains":[141],"unphysical":[142],"terms":[143],"that":[144,217],"introduced":[146],"purely":[148],"numerical":[149,182],"reasons":[150],"accelerate":[152,221],"runs.":[153],"use":[155],"such":[157],"poses":[161],"question":[163],"which":[165],"equations":[166,178],"should":[167],"be":[168,188],"projected":[170],"onto":[171],"manifold,":[174],"exact":[176],"governing":[177],"or":[179,197,243],"scheme.":[183],"Also,":[184],"can":[187],"made":[189],"either":[191],"standard":[193],"$L_2$":[194],"inner":[195],"product":[196],"nonstandard":[199],"one,":[200],"based":[201],"on":[202,234],"limited":[204],"number":[205,237],"mesh":[207],"points.":[208],"After":[209],"addressing":[210],"these":[211],"issues,":[212],"constructed":[216],"able":[219],"by":[225],"factor":[227],"order":[230],"5\u201315,":[232],"depending":[233],"nature":[240],"(steady,":[241],"periodic,":[242],"quasi-periodic)":[244],"forcing":[247],"velocity.":[248]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
